Generalized Fibonacci and Lucas numbers of the form 5x(2)

Keskin, Refik; Karaatlı, Olcay

dc.contributor.authors	Keskin, R; Karaatli, O;
dc.date.accessioned	2020-01-17T08:21:39Z
dc.date.available	2020-01-17T08:21:39Z
dc.date.issued	2015
dc.identifier.citation	Keskin, R; Karaatli, O; (2015). Generalized Fibonacci and Lucas numbers of the form 5x(2). INTERNATIONAL JOURNAL OF NUMBER THEORY, 11, 944-931
dc.identifier.issn	1793-0421
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6047
dc.identifier.uri	https://doi.org/10.1142/S1793042115500517
dc.description.abstract	Let (U-n(P, Q) and (V-n(P, Q) denote the generalized Fibonacci and Lucas sequences, respectively. In this study, we assume that Q = 1. We determine all indices n such that U-n = 5 square and U-n = 5U(m)square under some assumptions on P. We show that the equation Vn = 5 square has a solution only if n = 1 for the case when P is odd. Moreover, we show that the equation V-n = 5V(m)square has no solutions.
dc.language	English
dc.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
dc.subject	Mathematics
dc.title	Generalized Fibonacci and Lucas numbers of the form 5x(2)
dc.type	Article
dc.identifier.volume	11
dc.identifier.startpage	931
dc.identifier.endpage	944
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.contributor.saüauthor	Karaatlı, Olcay
dc.relation.journal	INTERNATIONAL JOURNAL OF NUMBER THEORY
dc.identifier.wos	WOS:000352447300015
dc.identifier.doi	10.1142/S1793042115500517
dc.identifier.eissn	1793-7310
dc.contributor.author	Keskin, Refik
dc.contributor.author	Karaatlı, Olcay